APS boundary conditions, eta invariants and adiabatic limits
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Abstract:
We prove an adiabatic limit formula for the eta invariant of a manifold with boundary. The eta invariant is defined using the Atiyah-Patodi-Singer boundary condition and the underlying manifold is fibered over a manifold with boundary. Our result extends the work of Bismut-Cheeger to manifolds with boundary.References
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Additional Information
- Xianzhe Dai
- Affiliation: Department of Mathematics, University of California, Santa Barbara, California 93106
- MR Author ID: 305627
- Email: dai@math.ucsb.edu
- Received by editor(s): November 8, 2000
- Published electronically: August 20, 2001
- Additional Notes: Supported in part by NSF Grant DMS 9704296
- © Copyright 2001 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 354 (2002), 107-122
- MSC (2000): Primary 58Jxx
- DOI: https://doi.org/10.1090/S0002-9947-01-02863-X
- MathSciNet review: 1859028